Search a number
-
+
668685578760 = 233254145303901
BaseRepresentation
bin10011011101100001100…
…01000011001000001000
32100220222211212222101200
421232300301003020020
541423432002010020
61231105004344200
766211436431533
oct11566061031010
92326884788350
10668685578760
11238651638521
12a9719545060
134b09798aac4
14245164a3a1a
15125d9d90590
hex9bb0c43208

668685578760 has 96 divisors (see below), whose sum is σ = 2226233744280. Its totient is φ = 173966976000.

The previous prime is 668685578723. The next prime is 668685578779. The reversal of 668685578760 is 67875586866.

668685578760 is a `hidden beast` number, since 6 + 6 + 8 + 6 + 8 + 557 + 8 + 7 + 60 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 261429735204 + 407255843556 = 511302^2 + 638166^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22637191 + ... + 22666710.

Almost surely, 2668685578760 is an apocalyptic number.

668685578760 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

668685578760 is an abundant number, since it is smaller than the sum of its proper divisors (1557548165520).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

668685578760 is a wasteful number, since it uses less digits than its factorization.

668685578760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45303959 (or 45303952 counting only the distinct ones).

The product of its (nonzero) digits is 812851200, while the sum is 72.

The spelling of 668685578760 in words is "six hundred sixty-eight billion, six hundred eighty-five million, five hundred seventy-eight thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 41 45 60 72 82 90 120 123 164 180 205 246 328 360 369 410 492 615 738 820 984 1230 1476 1640 1845 2460 2952 3690 4920 7380 14760 45303901 90607802 135911703 181215604 226519505 271823406 362431208 407735109 453039010 543646812 679558515 815470218 906078020 1087293624 1359117030 1630940436 1812156040 1857459941 2038675545 2718234060 3261880872 3714919882 4077351090 5436468120 5572379823 7429839764 8154702180 9287299705 11144759646 14859679528 16309404360 16717139469 18574599410 22289519292 27861899115 33434278938 37149198820 44579038584 55723798230 66868557876 74298397640 83585697345 111447596460 133737115752 167171394690 222895192920 334342789380 668685578760